Lesson: Derivative Techniques 2 Obj - Derivatives of Trig Functions

Trig Essentials SOHCAHTOA

Now, let’s examine the trig function graphs

Practice!

Other trig values

Basic Trig Identities

Trig Derivative Equations: 1. 2.

Proof that First, a couple of common limits you should know: And who could forget our friend, the difference quotient:

Proof that First, a couple of common limits you should know: And who could forget our friend, the difference quotient:

What about Tangent, Cotangent, Secant, and Cosecant? Let’s derive them! Use quotient rule:

Therefore,

Now try:

So, 2. 4. 5. 6.

O.K., How do I remember all that? Look at the cofunctions The derivative of any cofunction can be obtained from the derivative of the corresponding function by taking the negation and replacing each function in the derivative with its cofunction.

EX. 1: Find dy/dx if

EX. 2: Find dy/dx if

EX.3 : Find

EX. 4: Find